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Simplifying 3(x + -6) + 2 = 14x + 6 Reorder the terms: 3(-6 + x) + 2 = 14x + 6 (-6 * 3 + x * 3) + 2 = 14x + 6 (-18 + 3x) + 2 = 14x + 6 Reorder the terms: -18 + 2 + 3x = 14x + 6 Combine like terms: -18 + 2 = -16 -16 + 3x = 14x + 6 Reorder the terms: -16 + 3x = 6 + 14x Solving -16 + 3x = 6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -16 + 3x + -14x = 6 + 14x + -14x Combine like terms: 3x + -14x = -11x -16 + -11x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 -16 + -11x = 6 + 0 -16 + -11x = 6 Add '16' to each side of the equation. -16 + 16 + -11x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = 6 + 16 -11x = 6 + 16 Combine like terms: 6 + 16 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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